7(x-1)-7=-4(-5x+3)-3x

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Solution for 7(x-1)-7=-4(-5x+3)-3x equation:


Simplifying
7(x + -1) + -7 = -4(-5x + 3) + -3x

Reorder the terms:
7(-1 + x) + -7 = -4(-5x + 3) + -3x
(-1 * 7 + x * 7) + -7 = -4(-5x + 3) + -3x
(-7 + 7x) + -7 = -4(-5x + 3) + -3x

Reorder the terms:
-7 + -7 + 7x = -4(-5x + 3) + -3x

Combine like terms: -7 + -7 = -14
-14 + 7x = -4(-5x + 3) + -3x

Reorder the terms:
-14 + 7x = -4(3 + -5x) + -3x
-14 + 7x = (3 * -4 + -5x * -4) + -3x
-14 + 7x = (-12 + 20x) + -3x

Combine like terms: 20x + -3x = 17x
-14 + 7x = -12 + 17x

Solving
-14 + 7x = -12 + 17x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17x' to each side of the equation.
-14 + 7x + -17x = -12 + 17x + -17x

Combine like terms: 7x + -17x = -10x
-14 + -10x = -12 + 17x + -17x

Combine like terms: 17x + -17x = 0
-14 + -10x = -12 + 0
-14 + -10x = -12

Add '14' to each side of the equation.
-14 + 14 + -10x = -12 + 14

Combine like terms: -14 + 14 = 0
0 + -10x = -12 + 14
-10x = -12 + 14

Combine like terms: -12 + 14 = 2
-10x = 2

Divide each side by '-10'.
x = -0.2

Simplifying
x = -0.2

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